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Results tagged with higher-category-theory
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user 470393
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
5
votes
1
answer
251
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Example of a non-$\infty$-category whose homotopy category is a groupoid
What is an example of a simplicial set $S$ such that its homotopy category $hS$ is a groupoid, but such that $S$ is not an $\infty$-category?
I know that if $S$ is an $\infty$-category, then $S$ is a …
- 16.5k
3
votes
3
answers
968
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Precise definition of the $\infty$-category of spaces, continuous maps, homotopies, homotopi...
I heard that there is an $\infty$-category $\mathbf{Top}_\infty$ whose objects are topological spaces, whose 1-morphisms are continuous maps, whose 2-morphisms are homotopies, whose 3-morphisms are ho …
